1138:
1834:
1067:
1082:, as can be seen at page 43b (which is concerned with the synodic cycle of Mars). It has been suggested that these pointed, oblong "shell" representations are calligraphic variants of the PET logogram, approximately meaning "circular" or "rounded", and perhaps the basis of a derived noun meaning "totality" or "grouping", such that the representations may be an appropriate marker for a number position which has reached its totality.
952:
934:
95:
81:
49:
1123:
1051:
1044:
1037:
1026:
1015:
1004:
945:
923:
113:
104:
72:
63:
40:
22:
1098:
1554:
No long count date actually using the number 0 has been found before the 3rd century, but since the long count system would make no sense without some placeholder, and since
Mesoamerican glyphs do not typically leave empty spaces, these earlier dates are taken as indirect evidence that the concept of
1062:
Other than the bar and dot notation, Maya numerals were sometimes illustrated by face type glyphs or pictures. The face glyph for a number represents the deity associated with the number. These face number glyphs were rarely used, and are mostly seen on some of the most elaborate monumental carvings.
1181:
Every known example of large numbers in the Maya system uses this 'modified vigesimal' system, with the third position representing multiples of 18×20. It is reasonable to assume, but not proven by any evidence, that the normal system in use was a pure base-20 system.
881:(a bar). For example, thirteen is written as three dots in a horizontal row above two horizontal bars; sometimes it is also written as three vertical dots to the left of two vertical bars. With these three symbols, each of the twenty vigesimal digits could be written.
1128:
If there are not enough dots in a minuend position, a bar is replaced by five dots. If there are not enough bars, a dot is removed from the next higher minuend symbol in the column and four bars are added to the minuend symbol which is being worked on.
1209:. Indeed, many of the earliest Long Count dates were found within the Olmec heartland. However, the Olmec civilization had come to an end by the 4th century BC, several centuries before the earliest known Long Count dates—which suggests that zero was
1103:
If five or more dots result from the combination, five dots are removed and replaced by a bar. If four or more bars result, four bars are removed and a dot is added to the next higher row. This also means that the value of 1 bar is 5.
891:
For example, thirty-three would be written as one dot, above three dots atop two bars. The first dot represents "one twenty" or "1×20", which is added to three dots and two bars, or thirteen. Therefore, (1×20) + 13 = 33.
963:
Upon reaching 20 or 400, another row is started (20 or 8000, then 20 or 160,000, and so on). The number 429 would be written as one dot above one dot above four dots and a bar, or (1×20) + (1×20) + 9 = 429.
1165:
of the third position is not 20×20 = 400, as would otherwise be expected, but 18×20 = 360 so that one dot over two zeros signifies 360. Presumably, this is because 360 is roughly the number of days in a
1205:
Since the eight earliest Long Count dates appear outside the Maya homeland, it is assumed that the use of zero and the Long Count calendar predated the Maya, and was possibly the invention of the
1643:
2234:
827:
2575:
1917:
547:
1178:.) Subsequent positions use all twenty digits and the place values continue as 18×20×20 = 7,200 and 18×20×20×20 = 144,000, etc.
2570:
2595:
1658:
380:
1697:
1624:
1583:
1530:
1448:
1907:
1781:
1191:
1158:
1146:
2484:
2474:
2043:
885:
171:
2499:
1762:
1234:
1222:
1195:
614:
1821:
1811:
820:
395:
2509:
2459:
1801:
1692:. Civilization of the American Indian Series, No. 56 (3rd ed.). Norman: University of Oklahoma Press.
884:
Numbers after 19 were written vertically in powers of twenty. The Mayan used powers of twenty, just as the
740:
1816:
1806:
567:
750:
2464:
2223:
1912:
1868:
1545:
Anderson, W. French. “Arithmetic in Maya
Numerals.” American Antiquity, vol. 36, no. 1, 1971, pp. 54–63
1493:
Maya
Decipherment: Ideas on Maya Writing and Iconography -- Boundary End Archaeological Research Center
627:
2479:
2139:
2038:
2021:
2011:
723:
492:
1175:
2585:
2444:
813:
140:
1939:
803:
587:
184:
1575:
1569:
1488:
448:
487:
403:
2209:
2434:
2342:
2016:
1929:
1880:
1796:
605:
2469:
2590:
2312:
2202:
2164:
1897:
1863:
1137:
700:
561:
554:
435:
2494:
2454:
1681:
Davidson, Luis J. “The Maya
Numerals.” Mathematics in School, vol. 3, no. 4, 1974, pp. 7–7
8:
2414:
2171:
2112:
2055:
1685:
1162:
863:
782:
772:
647:
598:
410:
342:
197:
158:
237:
2449:
2277:
2216:
2048:
1976:
1755:
1142:
695:
285:
280:
227:
870:
232:
2580:
2317:
1848:
1771:
1722:
1703:
1693:
1670:
1662:
1630:
1620:
1589:
1579:
1526:
1426:
855:
777:
767:
755:
735:
690:
685:
621:
453:
425:
332:
265:
255:
242:
207:
202:
2489:
1190:
Several
Mesoamerican cultures used similar numerals and base-twenty systems and the
670:
2519:
2292:
1875:
1522:
1515:
680:
574:
327:
315:
260:
250:
217:
192:
1833:
2544:
2399:
2272:
2257:
2067:
2033:
1924:
1858:
1791:
792:
762:
705:
675:
660:
420:
388:
360:
337:
320:
179:
2195:
1239:
275:
2539:
2307:
1961:
1734:
1612:
866:
787:
730:
710:
665:
538:
270:
222:
148:
2549:
1728:
1194:
requiring the use of zero as a place-holder. The earliest long count date (on
2564:
2529:
2524:
2157:
2077:
2028:
1986:
1951:
1887:
1748:
1666:
1565:
1473:
1170:. (The Maya had however a quite accurate estimation of 365.2422 days for the
1154:
1090:
Adding and subtracting numbers below 20 using Mayan numerals is very simple.
1079:
1071:
851:
593:
482:
355:
290:
212:
1674:
1634:
1593:
16:
System used by the ancient Mayan civilization to represent numbers and dates
2409:
2347:
2337:
2332:
2152:
2146:
2001:
1991:
1971:
745:
1707:
1429:, a similar system from another culture, created in the late 20th century.
2384:
2302:
2178:
1981:
1934:
1619:(4th edition (revised) ed.). London; New York: Thames & Hudson.
1108:
1066:
715:
580:
532:
522:
2117:
1956:
1902:
1171:
1112:
878:
874:
517:
2297:
1452:
2267:
2188:
1892:
1161:. In the second position, only the digits up to 17 are used, and the
951:
933:
859:
527:
94:
80:
48:
2102:
1740:
1725:- online converter from decimal numeration to Maya numeral notation.
2534:
2394:
2379:
2362:
2357:
1946:
1091:
1050:
1043:
1036:
1025:
1014:
1003:
944:
922:
112:
103:
71:
62:
39:
2097:
1227:
Mayan numerals codes in
Unicode comprise the block 1D2E0 to 1D2F3
2424:
2389:
2282:
1853:
1199:
1132:
1122:
1116:
512:
497:
2107:
2374:
2322:
2287:
2092:
847:
502:
1157:
uses a variation on the strictly vigesimal numerals to show a
2419:
2404:
2352:
2262:
2252:
2247:
2122:
1206:
507:
469:
430:
1094:
is performed by combining the numeric symbols at each level:
2087:
2060:
1167:
1097:
1400:
21:
1358:
1364:
1361:
1344:
1341:
1476:. Saxon State and University Library (SLUB) Dresden.
1355:
1347:
1338:
1335:
1078:There are different representations of zero in the
1514:
1326:
1323:
1311:
1737:- free font for Unicode Mayan numeral characters.
1512:
1329:
1317:
1314:
1302:
2562:
1332:
1320:
1308:
1305:
1145:. The left column uses Maya numerals to show a
1141:Detail showing in the right columns glyphs from
1133:Modified vigesimal system in the Maya calendar
1074:showing the different representations of zero.
1756:
1521:. San Diego, CA: Lucent Books, Inc. pp.
869:. The numerals are made up of three symbols:
821:
1486:
1412:Grey areas indicate non-assigned code points
1085:
1763:
1749:
1049:
1042:
1035:
1024:
1013:
1002:
950:
943:
932:
921:
828:
814:
111:
102:
93:
79:
70:
61:
47:
38:
1731:- online story of number representations.
1641:
1684:
1571:The Olmecs: America's First Civilization
1446:
1408:
1136:
1065:
20:
1690:Maya Hieroglyphic ting; An Introduction
1574:. London: Thames & Hudson. p.
2563:
1240:Official Unicode Consortium code chart
1770:
1744:
1564:
1474:"Codex Dresdensis - Mscr.Dresd.R.310"
1611:
13:
1644:"Apuntes sobre la aritmética Maya"
1604:
14:
2607:
1716:
1832:
1642:Díaz Díaz, Ruy (December 2006).
1192:Mesoamerican Long Count calendar
1153:The "Long Count" portion of the
1121:
1096:
2576:Mathematics of ancient history
1558:
1555:0 already existed at the time.
1548:
1539:
1506:
1487:David Stuart (June 15, 2012).
1480:
1466:
1440:
1389:
1387:
1385:
1383:
1381:
1379:
1377:
1375:
1373:
1371:
1369:
1367:
1223:Mayan Numerals (Unicode block)
1:
1433:
1111:, remove the elements of the
1729:Anthropomorphic Maya numbers
846:was the system to represent
7:
2571:Maya science and technology
1420:
1070:Section of page 43b of the
886:Hindu–Arabic numeral system
10:
2612:
2485:Uaxaclajuun Ubʼaah Kʼawiil
1657:(35). Táchira, Venezuela:
1513:Kallen, Stuart A. (1955).
1404:As of Unicode version 16.0
1393:
1232:
1220:
1216:
1185:
548:Non-standard radices/bases
2596:Vigesimal numeral systems
2508:
2433:
2233:
2140:Annals of the Cakchiquels
2131:
2076:
2000:
1841:
1830:
1780:
1735:BabelStone Mayan Numerals
1174:at least since the early
1659:Universidad de los Andes
1149:of 8.5.16.9.7 or 156 CE.
1086:Addition and subtraction
2500:Yuknoom Yichʼaak Kʼahkʼ
2460:Kʼakʼ Tiliw Chan Yopaat
1723:Maya numerals converter
1489:"The Calligraphic Zero"
804:List of numeral systems
1150:
1075:
26:
2475:Kʼinich Yax Kʼukʼ Moʼ
2465:Kʼinich Janaabʼ Pakal
2224:Título de Totonicapán
1797:Classic Maya collapse
1647:(online reproduction)
1198:at Chiappa de Corzo,
1140:
1069:
172:Hindu–Arabic numerals
24:
2480:Kʼinich Yoʼnal Ahk I
2203:Ritual of the Bacabs
1864:Twin-pyramid complex
1686:Thompson, J. Eric S.
1213:an Olmec discovery.
973:Addition (multiple)
888:uses powers of ten.
844:Mayan numeral system
701:Prehistoric counting
477:Common radices/bases
159:Place-value notation
2445:Bʼalaj Chan Kʼawiil
2415:Xmucane and Xpiacoc
2210:Songs of Dzitbalché
974:
899:
648:Sign-value notation
2470:Kʼinich Yat Ahk II
2278:Howler monkey gods
1151:
1143:La Mojarra Stela 1
1076:
972:
898:Addition (single)
897:
304:East Asian systems
27:
2558:
2557:
2495:Yuknoom Chʼeen II
2455:Itzam Kʼan Ahk II
1773:Maya civilization
1447:Saxakali (1997).
1427:Kaktovik numerals
1418:
1417:
1202:) is from 36 BC.
1058:
1057:
959:
958:
856:Maya civilization
838:
837:
637:
636:
134:
133:
2603:
2520:Lady Eveningstar
2512:
2437:
2237:
2080:
2004:
1836:
1802:Spanish conquest
1784:
1774:
1765:
1758:
1751:
1742:
1741:
1711:
1678:
1648:
1638:
1598:
1597:
1562:
1556:
1552:
1546:
1543:
1537:
1536:
1520:
1510:
1504:
1503:
1501:
1499:
1484:
1478:
1477:
1470:
1464:
1463:
1461:
1460:
1451:. Archived from
1449:"Mayan Numerals"
1444:
1411:
1403:
1230:
1229:
1125:
1115:Symbol from the
1100:
1053:
1046:
1039:
1028:
1017:
1006:
975:
971:
954:
947:
936:
925:
900:
896:
830:
823:
816:
619:
603:
585:
575:balanced ternary
572:
559:
165:
164:
136:
135:
115:
106:
97:
83:
74:
65:
51:
42:
29:
28:
2611:
2610:
2606:
2605:
2604:
2602:
2601:
2600:
2586:Numeral systems
2561:
2560:
2559:
2554:
2545:Wak Chanil Ajaw
2510:
2504:
2435:
2429:
2235:
2229:
2127:
2078:
2072:
2044:Human sacrifice
2002:
1996:
1859:Triadic pyramid
1837:
1828:
1792:Preclassic Maya
1782:
1776:
1772:
1769:
1719:
1714:
1700:
1646:
1627:
1613:Coe, Michael D.
1607:
1605:Further reading
1602:
1601:
1586:
1563:
1559:
1553:
1549:
1544:
1540:
1533:
1511:
1507:
1497:
1495:
1485:
1481:
1472:
1471:
1467:
1458:
1456:
1445:
1441:
1436:
1423:
1238:
1225:
1219:
1188:
1159:Long Count date
1147:Long Count date
1135:
1120:
1107:Similarly with
1095:
1088:
967:
840:
839:
834:
798:
797:
720:
706:Proto-cuneiform
651:
650:
639:
638:
633:
632:
617:
601:
583:
570:
557:
544:
473:
472:
460:
459:
440:
400:
385:
376:
375:
366:
365:
347:
306:
305:
296:
295:
247:
189:
175:
174:
162:
161:
149:Numeral systems
17:
12:
11:
5:
2609:
2599:
2598:
2593:
2588:
2583:
2578:
2573:
2556:
2555:
2553:
2552:
2547:
2542:
2537:
2532:
2527:
2522:
2516:
2514:
2506:
2505:
2503:
2502:
2497:
2492:
2490:Yoʼnal Ahk III
2487:
2482:
2477:
2472:
2467:
2462:
2457:
2452:
2447:
2441:
2439:
2431:
2430:
2428:
2427:
2422:
2417:
2412:
2407:
2402:
2397:
2392:
2387:
2382:
2377:
2372:
2366:
2365:
2360:
2355:
2350:
2345:
2340:
2335:
2330:
2326:
2325:
2320:
2315:
2310:
2305:
2300:
2295:
2290:
2285:
2280:
2275:
2270:
2265:
2260:
2255:
2250:
2245:
2241:
2239:
2231:
2230:
2228:
2227:
2220:
2213:
2206:
2199:
2192:
2185:
2184:
2183:
2176:
2169:
2162:
2150:
2143:
2135:
2133:
2129:
2128:
2126:
2125:
2120:
2115:
2110:
2105:
2100:
2095:
2090:
2084:
2082:
2074:
2073:
2071:
2070:
2065:
2064:
2063:
2056:Social classes
2053:
2052:
2051:
2046:
2041:
2036:
2026:
2025:
2024:
2014:
2008:
2006:
1998:
1997:
1995:
1994:
1989:
1984:
1979:
1974:
1969:
1964:
1959:
1954:
1949:
1944:
1943:
1942:
1937:
1932:
1922:
1921:
1920:
1918:Maritime trade
1915:
1905:
1900:
1895:
1890:
1885:
1884:
1883:
1873:
1872:
1871:
1866:
1861:
1856:
1845:
1843:
1839:
1838:
1831:
1829:
1827:
1826:
1825:
1824:
1819:
1814:
1809:
1799:
1794:
1788:
1786:
1778:
1777:
1768:
1767:
1760:
1753:
1745:
1739:
1738:
1732:
1726:
1718:
1717:External links
1715:
1713:
1712:
1698:
1682:
1679:
1653:(in Spanish).
1639:
1625:
1608:
1606:
1603:
1600:
1599:
1584:
1566:Diehl, Richard
1557:
1547:
1538:
1531:
1505:
1479:
1465:
1438:
1437:
1435:
1432:
1431:
1430:
1422:
1419:
1416:
1415:
1414:
1413:
1405:
1391:
1390:
1388:
1386:
1384:
1382:
1380:
1378:
1376:
1374:
1372:
1370:
1368:
1366:
1363:
1360:
1357:
1354:
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1349:
1346:
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1340:
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1334:
1331:
1328:
1325:
1322:
1319:
1316:
1313:
1310:
1307:
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1301:
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1275:
1272:
1269:
1266:
1263:
1260:
1257:
1254:
1251:
1248:
1244:
1243:
1235:Mayan Numerals
1221:Main article:
1218:
1215:
1187:
1184:
1134:
1131:
1087:
1084:
1060:
1059:
1056:
1055:
1032:
1030:
1021:
1019:
1010:
1008:
998:
997:
994:
991:
988:
985:
982:
979:
961:
960:
957:
956:
940:
938:
929:
927:
917:
916:
913:
910:
907:
904:
867:numeral system
852:calendar dates
836:
835:
833:
832:
825:
818:
810:
807:
806:
800:
799:
796:
795:
790:
785:
780:
775:
770:
765:
760:
759:
758:
753:
748:
738:
733:
727:
726:
719:
718:
713:
708:
703:
698:
693:
688:
683:
678:
673:
668:
663:
657:
656:
655:Non-alphabetic
652:
646:
645:
644:
641:
640:
635:
634:
631:
630:
625:
612:
596:
591:
578:
565:
551:
550:
543:
542:
535:
530:
525:
520:
515:
510:
505:
500:
495:
490:
485:
479:
478:
474:
467:
466:
465:
462:
461:
458:
457:
451:
445:
444:
439:
438:
433:
428:
423:
418:
413:
407:
406:
404:Post-classical
399:
398:
392:
391:
384:
383:
377:
373:
372:
371:
368:
367:
364:
363:
358:
352:
351:
346:
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340:
335:
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301:
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258:
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246:
245:
240:
235:
230:
225:
220:
215:
210:
205:
200:
195:
188:
187:
185:Eastern Arabic
182:
180:Western Arabic
176:
170:
169:
168:
163:
157:
156:
155:
152:
151:
145:
144:
132:
131:
128:
125:
122:
118:
117:
108:
99:
90:
86:
85:
76:
67:
58:
54:
53:
44:
35:
33:
19:
18:
15:
9:
6:
4:
3:
2:
2608:
2597:
2594:
2592:
2589:
2587:
2584:
2582:
2579:
2577:
2574:
2572:
2569:
2568:
2566:
2551:
2548:
2546:
2543:
2541:
2538:
2536:
2533:
2531:
2530:Lady of Tikal
2528:
2526:
2525:Lady of Itzan
2523:
2521:
2518:
2517:
2515:
2513:
2507:
2501:
2498:
2496:
2493:
2491:
2488:
2486:
2483:
2481:
2478:
2476:
2473:
2471:
2468:
2466:
2463:
2461:
2458:
2456:
2453:
2451:
2450:Haʼ Kʼin Xook
2448:
2446:
2443:
2442:
2440:
2438:
2432:
2426:
2423:
2421:
2418:
2416:
2413:
2411:
2408:
2406:
2403:
2401:
2398:
2396:
2393:
2391:
2388:
2386:
2383:
2381:
2378:
2376:
2373:
2371:
2368:
2367:
2364:
2361:
2359:
2356:
2354:
2351:
2349:
2346:
2344:
2341:
2339:
2336:
2334:
2331:
2328:
2327:
2324:
2321:
2319:
2316:
2314:
2311:
2309:
2306:
2304:
2301:
2299:
2296:
2294:
2291:
2289:
2286:
2284:
2281:
2279:
2276:
2274:
2271:
2269:
2266:
2264:
2261:
2259:
2256:
2254:
2251:
2249:
2246:
2243:
2242:
2240:
2238:
2232:
2226:
2225:
2221:
2219:
2218:
2217:Título Cʼoyoi
2214:
2212:
2211:
2207:
2205:
2204:
2200:
2198:
2197:
2193:
2191:
2190:
2186:
2182:
2181:
2177:
2175:
2174:
2170:
2168:
2167:
2163:
2161:
2160:
2156:
2155:
2154:
2151:
2149:
2148:
2144:
2142:
2141:
2137:
2136:
2134:
2130:
2124:
2121:
2119:
2116:
2114:
2111:
2109:
2106:
2104:
2101:
2099:
2096:
2094:
2091:
2089:
2086:
2085:
2083:
2081:
2075:
2069:
2066:
2062:
2059:
2058:
2057:
2054:
2050:
2049:Death rituals
2047:
2045:
2042:
2040:
2037:
2035:
2032:
2031:
2030:
2027:
2023:
2020:
2019:
2018:
2015:
2013:
2010:
2009:
2007:
2005:
1999:
1993:
1990:
1988:
1985:
1983:
1980:
1978:
1975:
1973:
1970:
1968:
1965:
1963:
1960:
1958:
1955:
1953:
1950:
1948:
1945:
1941:
1938:
1936:
1933:
1931:
1928:
1927:
1926:
1923:
1919:
1916:
1914:
1911:
1910:
1909:
1906:
1904:
1901:
1899:
1896:
1894:
1891:
1889:
1886:
1882:
1879:
1878:
1877:
1874:
1870:
1867:
1865:
1862:
1860:
1857:
1855:
1852:
1851:
1850:
1847:
1846:
1844:
1840:
1835:
1823:
1820:
1818:
1815:
1813:
1810:
1808:
1805:
1804:
1803:
1800:
1798:
1795:
1793:
1790:
1789:
1787:
1785:
1779:
1775:
1766:
1761:
1759:
1754:
1752:
1747:
1746:
1743:
1736:
1733:
1730:
1727:
1724:
1721:
1720:
1709:
1705:
1701:
1699:0-8061-0447-3
1695:
1691:
1687:
1683:
1680:
1676:
1672:
1668:
1664:
1660:
1656:
1652:
1645:
1640:
1636:
1632:
1628:
1626:0-500-27455-X
1622:
1618:
1614:
1610:
1609:
1595:
1591:
1587:
1585:0-500-02119-8
1581:
1577:
1573:
1572:
1567:
1561:
1551:
1542:
1534:
1532:1-56006-757-8
1528:
1524:
1519:
1518:
1509:
1494:
1490:
1483:
1475:
1469:
1455:on 2006-07-14
1454:
1450:
1443:
1439:
1428:
1425:
1424:
1410:
1406:
1402:
1398:
1397:
1396:
1392:
1352:
1351:
1299:
1298:
1294:
1291:
1288:
1285:
1282:
1279:
1276:
1273:
1270:
1267:
1264:
1261:
1258:
1255:
1252:
1249:
1246:
1245:
1241:
1237:
1236:
1231:
1228:
1224:
1214:
1212:
1208:
1203:
1201:
1197:
1193:
1183:
1179:
1177:
1173:
1169:
1164:
1160:
1156:
1155:Maya calendar
1148:
1144:
1139:
1130:
1126:
1124:
1118:
1114:
1110:
1105:
1101:
1099:
1093:
1083:
1081:
1080:Dresden Codex
1073:
1072:Dresden Codex
1068:
1064:
1054:
1052:
1047:
1045:
1040:
1038:
1033:
1031:
1029:
1027:
1022:
1020:
1018:
1016:
1011:
1009:
1007:
1005:
1000:
999:
995:
992:
989:
986:
983:
980:
977:
976:
970:
969:
968:
965:
955:
953:
948:
946:
941:
939:
937:
935:
930:
928:
926:
924:
919:
918:
914:
911:
908:
905:
902:
901:
895:
894:
893:
889:
887:
882:
880:
876:
872:
868:
865:
861:
857:
853:
849:
845:
831:
826:
824:
819:
817:
812:
811:
809:
808:
805:
802:
801:
794:
791:
789:
786:
784:
781:
779:
776:
774:
771:
769:
766:
764:
761:
757:
754:
752:
749:
747:
744:
743:
742:
741:Alphasyllabic
739:
737:
734:
732:
729:
728:
725:
722:
721:
717:
714:
712:
709:
707:
704:
702:
699:
697:
694:
692:
689:
687:
684:
682:
679:
677:
674:
672:
669:
667:
664:
662:
659:
658:
654:
653:
649:
643:
642:
629:
626:
623:
616:
613:
610:
609:
600:
597:
595:
592:
589:
582:
579:
576:
569:
566:
563:
556:
553:
552:
549:
546:
545:
540:
536:
534:
531:
529:
526:
524:
521:
519:
516:
514:
511:
509:
506:
504:
501:
499:
496:
494:
491:
489:
486:
484:
481:
480:
476:
475:
471:
464:
463:
455:
452:
450:
447:
446:
442:
441:
437:
434:
432:
429:
427:
424:
422:
419:
417:
414:
412:
409:
408:
405:
402:
401:
397:
394:
393:
390:
387:
386:
382:
379:
378:
374:Other systems
370:
369:
362:
359:
357:
356:Counting rods
354:
353:
349:
348:
344:
341:
339:
336:
334:
331:
329:
326:
322:
319:
318:
317:
314:
313:
309:
308:
300:
299:
292:
289:
287:
284:
282:
279:
277:
274:
272:
269:
267:
264:
262:
259:
257:
254:
252:
249:
248:
244:
241:
239:
236:
234:
231:
229:
226:
224:
221:
219:
216:
214:
211:
209:
206:
204:
201:
199:
196:
194:
191:
190:
186:
183:
181:
178:
177:
173:
167:
166:
160:
154:
153:
150:
147:
146:
142:
138:
137:
129:
126:
123:
120:
119:
116:
114:
109:
107:
105:
100:
98:
96:
91:
88:
87:
84:
82:
77:
75:
73:
68:
66:
64:
59:
56:
55:
52:
50:
45:
43:
41:
36:
34:
31:
30:
25:Maya numerals
23:
2410:Vucub Caquix
2369:
2338:Ah-Muzen-Cab
2329:Post-Classic
2318:Moon goddess
2222:
2215:
2208:
2201:
2196:Rabinal Achí
2194:
2187:
2179:
2172:
2165:
2158:
2147:Chilam Balam
2145:
2138:
1966:
1849:Architecture
1689:
1654:
1650:
1616:
1570:
1560:
1550:
1541:
1516:
1508:
1496:. Retrieved
1492:
1482:
1468:
1457:. Retrieved
1453:the original
1442:
1409:
1401:
1394:
1233:
1226:
1210:
1204:
1189:
1180:
1152:
1127:
1106:
1102:
1089:
1077:
1061:
1048:
1041:
1034:
1023:
1012:
1001:
966:
962:
949:
942:
931:
920:
890:
883:
877:(a dot) and
843:
841:
607:
568:Signed-digit
443:Contemporary
415:
310:Contemporary
110:
101:
92:
78:
69:
60:
46:
37:
2591:Maya script
2550:Yohl Ikʼnal
2385:Hun Hunahpu
2303:Kinich Ahau
2293:Jaguar gods
1661:: 621–627.
1176:Classic era
1163:place value
1109:subtraction
873:(a shell),
858:. It was a
746:Akṣarapallī
716:Tally marks
615:Non-integer
2565:Categories
2400:Qʼuqʼumatz
2273:Hero Twins
2258:Death gods
2132:Literature
2068:Households
2034:Priesthood
1517:The Mayans
1459:2006-07-29
1434:References
1365:𝋳
1362:𝋲
1359:𝋱
1356:𝋰
1348:𝋯
1345:𝋮
1342:𝋭
1339:𝋬
1336:𝋫
1333:𝋪
1330:𝋩
1327:𝋨
1324:𝋧
1321:𝋦
1318:𝋥
1315:𝋤
1312:𝋣
1309:𝋢
1306:𝋡
1303:𝋠
1172:solar year
1113:subtrahend
864:positional
862:(base-20)
783:Glagolitic
756:Kaṭapayādi
724:Alphabetic
628:Asymmetric
470:radix/base
411:Cistercian
396:Babylonian
343:Vietnamese
198:Devanagari
2540:Sak Kʼukʼ
2370:Popol Vuh
2308:Maize god
2268:Goddess I
2189:Popol Vuh
2039:Sacrifice
2022:Midwifery
2012:Childhood
1962:Mythology
1925:Languages
1812:Guatemala
1667:1316-4910
860:vigesimal
751:Āryabhaṭa
696:Kharosthi
588:factorial
555:Bijective
456:(Iñupiaq)
286:Sundanese
281:Mongolian
228:Malayalam
121:Total(s)
2581:Numerals
2535:Lady Xoc
2395:Jacawitz
2380:Camazotz
2363:Yum Kaax
2358:Kukulkan
2118:Tzolkʼin
2079:Calendar
2029:Religion
1987:Textiles
1967:Numerals
1952:Medicine
1947:Mayanist
1888:Ceramics
1881:Graffiti
1688:(1971).
1675:66480251
1635:15895415
1617:The Maya
1615:(1987).
1594:56746987
1568:(2004).
1421:See also
1353:U+1D2Fx
1300:U+1D2Ex
1092:Addition
778:Georgian
768:Cyrillic
736:Armenian
691:Etruscan
686:Egyptian
594:Negative
454:Kaktovik
449:Cherokee
426:Pentadic
350:Historic
333:Japanese
266:Javanese
256:Balinese
243:Dzongkha
208:Gurmukhi
203:Gujarati
141:a series
139:Part of
2425:Zipacna
2390:Huracan
2298:Kʼawiil
2283:Itzamna
2244:Classic
2236:Deities
2166:Grolier
2159:Dresden
2153:Codices
2003:Society
1992:Warfare
1930:Classic
1908:Economy
1898:Cuisine
1869:Revival
1854:E-Group
1822:Yucatán
1807:Chiapas
1783:History
1651:Educere
1498:Mar 11,
1217:Unicode
1200:Chiapas
1196:Stela 2
1186:Origins
1119:symbol:
1117:minuend
984:(1×20)
978:(1×20)
903:(1×20)
854:in the
848:numbers
681:Chuvash
599:Complex
389:Ancient
381:History
328:Hokkien
316:Chinese
261:Burmese
251:Tibetan
238:Kannada
218:Sinhala
193:Bengali
2511:Queens
2375:Awilix
2323:Yopaat
2288:Ixchel
2173:Madrid
2103:Kʼatun
2093:Baktun
1982:Stelae
1972:People
1935:Script
1893:Cities
1842:Topics
1708:275252
1706:
1696:
1673:
1665:
1633:
1623:
1592:
1582:
1529:
1247:
1242:(PDF)
793:Hebrew
763:Coptic
676:Brahmi
661:Aegean
618:
602:
584:
571:
558:
421:Muisca
361:Tangut
338:Korean
321:Suzhou
233:Telugu
2436:Kings
2420:Xquic
2405:Tohil
2353:Ixtab
2263:God L
2253:Chaac
2248:Bacab
2180:Paris
2123:Winal
2098:Haabʼ
2017:Women
1977:Sites
1957:Music
1913:Trade
1903:Dance
1817:Petén
1395:Notes
1207:Olmec
788:Greek
773:Geʽez
731:Abjad
711:Roman
671:Aztec
666:Attic
581:Mixed
539:table
431:Quipu
416:Mayan
271:Khmer
223:Tamil
130:5125
32:400s
2348:Chin
2343:Akna
2333:Acat
2108:Kʼin
2088:Ajaw
2061:Ajaw
1940:List
1704:OCLC
1694:ISBN
1671:OCLC
1663:ISSN
1631:OCLC
1621:ISBN
1590:OCLC
1580:ISBN
1527:ISBN
1500:2024
1168:year
996:429
879:five
871:zero
850:and
842:The
436:Rumi
291:Thai
213:Odia
127:429
57:20s
2313:Mam
2113:Tun
1876:Art
1576:186
1211:not
915:33
909:13
875:one
468:By
276:Lao
124:33
89:1s
2567::
1702:.
1669:.
1655:10
1649:.
1629:.
1588:.
1578:.
1525:.
1523:56
1491:.
1407:2.
1399:1.
1295:F
993:=
990:9
987:+
981:+
912:=
906:+
533:60
528:20
523:16
518:12
513:10
143:on
1764:e
1757:t
1750:v
1710:.
1677:.
1637:.
1596:.
1535:.
1502:.
1462:.
1292:E
1289:D
1286:C
1283:B
1280:A
1277:9
1274:8
1271:7
1268:6
1265:5
1262:4
1259:3
1256:2
1253:1
1250:0
829:e
822:t
815:v
624:)
622:φ
620:(
611:)
608:i
606:2
604:(
590:)
586:(
577:)
573:(
564:)
562:1
560:(
541:)
537:(
508:8
503:6
498:5
493:4
488:3
483:2
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